TY - JOUR
T1 - Semi-stability for Holomorphic Bundles with Global Sections
AU - Zhang , Chuanjing
JO - Journal of Partial Differential Equations
VL - 3
SP - 204
EP - 217
PY - 2016
DA - 2016/09
SN - 29
DO - http://doi.org/10.4208/jpde.v29.n3.4
UR - https://global-sci.org/intro/article_detail/jpde/5089.html
KW - τ-semi-stable
KW - approximate τ-Hermitian-Einstein structure
KW - holomorphic pair
AB -  In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair (E,Φ). As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.